Joint PMF
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Due Jun 8, 2:59 AM EDT
Two discrete random variables are independent if and only if the rows of their joint PMF are pairwise collinear as vectors (values in one row are multiples of corresponding values in another row with the same factor, which only depends on the chosen pair). Is that true?
A fair dice rolls. Let X be the number on the dice and Y be 0 for even X and 1 for odd. Find the joint PMF of X and Y: